Geodesic
On the separation property of the Sturm–Liouville operator in weighted spaces of multiplicators
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 86-94
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In this paper, we prove the separation theorem for the Sturm–Liouville operator in terms of point multiplicators in weighted Sobolev spaces. The research method is based on local estimates on intervals of characteristic length.
Keywords: separation property, differential operator, multiplicator, weighted space. 
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     author = {A. Kasym and L. K. Kusainova},
     title = {On the separation property of the {Sturm{\textendash}Liouville} operator in weighted spaces of multiplicators},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {86--94},
     year = {2017},
     volume = {141},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_141_a6/}
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A. Kasym; L. K. Kusainova. On the separation property of the Sturm–Liouville operator in weighted spaces of multiplicators. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 86-94. http://geodesic.mathdoc.fr/item/INTO_2017_141_a6/